Abstract
We call a Cayley digraph Γ = Cay(G, S) normal for G if G R , the right regular representation of G, is a normal subgroup of the full automorphism group Aut(Γ) of Γ. In this paper we determine the normality of Cayley digraphs of valency 2 on nonabelian groups of order 2p 2 (p odd prime). As a result, a family of nonnormal Cayley digraphs is found.
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The work is supported by the Postdoctoral Science Foundation of China and Morningside Center of Mathematics, Chinese Academy of Sciences
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Feng, Y.Q., Wang, D.J. & Chen, J.L. A Family of Nonnormal Cayley Digraphs. Acta Math Sinica 17, 147–152 (2001). https://doi.org/10.1007/s101140000097
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DOI: https://doi.org/10.1007/s101140000097